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Finding the Fourth Proportional to 192.82, 289.20 and 182.11

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Solution

The fourth proportional to 192.82, 289.20 and 182.11 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 289.20 = 182.11 : x
  2. Step 2: Convert to fraction form
    192.82/289.20 = 182.11/x
  3. Step 3: Cross multiply
    192.82x = 289.20 × 182.11
  4. Step 4: Simplify right side
    192.82x = 52,664.77
  5. Step 5: Solve for x
    x = 52,664.77/192.82
  6. Step 6: Final answer
    x = 273.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.